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Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences

Short Title: Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci.
Publisher: Royal Society Publishing, London
ISSN: 1364-5021; 1471-2946/e
Online: https://royalsocietypublishing.org/loi/rspa
https://www.jstor.org/journal/procmathphysengi
Predecessor: Proceedings A. Royal Society of London
Comments: Journal; This journal is available open access with a moving wall of 24 months.
Documents Indexed: 1,192 Publications (since 2015)
References Indexed: 898 Publications with 39,138 References.
all top 5

Authors

10 Goriely, Alain
9 Movchan, Alexander B.
9 Parnell, William J.
8 Abrahams, I. David
8 Kaplunov, Julius D.
7 Holm, Darryl Dallas
7 Neild, Simon A.
7 Simpson, Matthew J.
6 Ammari, Habib
6 Destrade, Michel
6 Kuznetsov, Andrey V.
6 Straughan, Brian
5 Ali, Sk Zeeshan
5 Brunton, Steven L.
5 Crampin, Edmund John
5 Dey, Subhasish
5 Fokas, Athanassios S.
5 Hill, Thomas L.
5 Jones, Ian S.
5 Kutz, J. Nathan
5 Kuznetsov, Ivan A.
5 Ogden, Raymond William
5 Porporato, Amilcare
5 Rogerson, Graham A.
5 Tronci, Cesare
4 Audoly, Basile
4 Bigoni, Davide
4 Bruno, Oscar P.
4 Carta, Giorgio
4 Chiribella, Giulio
4 Craster, Richard V.
4 Crowdy, Darren Gregory
4 Daly, Keith R.
4 Dorfmann, Luis
4 Fowler, Andrew C.
4 Fu, Yibin
4 Haberman, Michael R.
4 Haller, George
4 Hui, Chung-Yuen
4 Kent, Adrian
4 Maurel, Agnès
4 Mihai, L. Angela
4 Milton, Graeme Walter
4 Mishuris, Gennady S.
4 Neff, Patrizio
4 Paulino, Glaucio H.
4 Purohit, Prashant K.
4 Roose, Tiina
4 Rothman, Daniel H.
4 Shearer, Tom
4 Vella, Dominic
4 Yan, Zhenya
4 Zabarankin, Michael
4 Zhang, Guoqiang
3 Argatov, Ivan I.
3 Assier, Raphaël C.
3 Athanassoulis, Gerassimos A.
3 Ayton, Lorna J.
3 Bagarello, Fabio
3 Barbagallo, Gabriele
3 Barletta, Antonio
3 Broom, Mark
3 Cao, Jinde
3 Cavalieri, André V. G.
3 Celli, Michele
3 Champneys, Alan R.
3 Chen, Lin
3 Chen, Yichao
3 Choi, Gary Pui-Tung
3 Clanet, Christophe
3 Cohen, Yossi
3 Colbrook, Matthew J.
3 d’Agostino, Marco Valerio
3 El, Gennady A.
3 Evangelista, Luiz Roberto
3 Gawthrop, Peter J.
3 Ghorbaniasl, Ghader
3 Gower, Artur L.
3 Groh, Rainer M. J.
3 Guzina, Bojan B.
3 Hewitt, Ian J.
3 Holmes, Douglas P.
3 Jeffrey, Mike R.
3 Joshi, Nalini
3 Joy, Soumitra Roy
3 Kaminski Lenzi, Ervin
3 Kurths, JĂĽrgen
3 Leimkuhler, Benedict J.
3 Liu, Zezhou
3 Madeo, Angela
3 Mahadevan, Lakshminarayanan
3 Mantelli, Elisa
3 Masuda, Naoki
3 Mazumder, Pinaki
3 McCue, Scott William
3 Mercier, Jean-François
3 Misseroni, Diego
3 Moulton, Derek E.
3 Muhlestein, Michael B.
3 Muratov, Cyrill B.
...and 2,389 more Authors
all top 5

Fields

307 Mechanics of deformable solids (74-XX)
265 Fluid mechanics (76-XX)
140 Partial differential equations (35-XX)
130 Statistical mechanics, structure of matter (82-XX)
116 Biology and other natural sciences (92-XX)
90 Optics, electromagnetic theory (78-XX)
90 Quantum theory (81-XX)
71 Geophysics (86-XX)
60 Dynamical systems and ergodic theory (37-XX)
58 Mechanics of particles and systems (70-XX)
48 Statistics (62-XX)
47 Numerical analysis (65-XX)
43 Ordinary differential equations (34-XX)
38 Probability theory and stochastic processes (60-XX)
37 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
29 Information and communication theory, circuits (94-XX)
28 Classical thermodynamics, heat transfer (80-XX)
22 Computer science (68-XX)
20 Relativity and gravitational theory (83-XX)
18 Convex and discrete geometry (52-XX)
18 Systems theory; control (93-XX)
17 Combinatorics (05-XX)
14 Differential geometry (53-XX)
13 Difference and functional equations (39-XX)
13 Operations research, mathematical programming (90-XX)
10 Linear and multilinear algebra; matrix theory (15-XX)
10 Special functions (33-XX)
10 Calculus of variations and optimal control; optimization (49-XX)
10 Astronomy and astrophysics (85-XX)
9 Functions of a complex variable (30-XX)
8 History and biography (01-XX)
8 Algebraic geometry (14-XX)
7 Integral equations (45-XX)
6 Number theory (11-XX)
6 Real functions (26-XX)
5 Nonassociative rings and algebras (17-XX)
4 Harmonic analysis on Euclidean spaces (42-XX)
4 Functional analysis (46-XX)
4 Operator theory (47-XX)
4 Manifolds and cell complexes (57-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 General and overarching topics; collections (00-XX)
3 Group theory and generalizations (20-XX)
3 Topological groups, Lie groups (22-XX)
3 Algebraic topology (55-XX)
2 Mathematical logic and foundations (03-XX)
2 Measure and integration (28-XX)
2 Integral transforms, operational calculus (44-XX)
1 Sequences, series, summability (40-XX)

Publications by Year

Citations contained in zbMATH Open

898 Publications have been cited 5,083 times in 4,223 Documents Cited by Year
Learning partial differential equations via data discovery and sparse optimization. Zbl 1404.35397
Schaeffer, Hayden
88
2017
Matrix models and deformations of JT gravity. Zbl 1472.83071
Witten, Edward
73
2020
The mixed coupled nonlinear Schrödinger equation on the half-line via the Fokas method. Zbl 1371.35278
Tian, Shou-Fu
62
2016
Data-driven forecasting of high-dimensional chaotic systems with long short-term memory networks. Zbl 1402.92030
Vlachas, Pantelis R.; Byeon, Wonmin; Wan, Zhong Y.; Sapsis, Themistoklis P.; Koumoutsakos, Petros
58
2018
Large gyres as a shallow-water asymptotic solution of Euler’s equation in spherical coordinates. Zbl 1404.86015
Constantin, A.; Johnson, R. S.
53
2017
The postulations á la d’Alembert and á la Cauchy for higher gradient continuum theories are equivalent: a review of existing results. Zbl 1371.82032
dell’Isola, F.; Seppecher, P.; Della Corte, A.
51
2015
Sparse identification of nonlinear dynamics for model predictive control in the low-data limit. Zbl 1425.93175
Kaiser, E.; Kutz, J. N.; Brunton, S. L.
51
2018
Rogue periodic waves of the focusing nonlinear Schrödinger equation. Zbl 1402.35256
Chen, Jinbing; Pelinovsky, Dmitry E.
48
2018
Applications of variable-order fractional operators: a review. Zbl 1439.26028
Patnaik, Sansit; Hollkamp, John P.; Semperlotti, Fabio
47
2020
Nonlinear information fusion algorithms for data-efficient multi-fidelity modelling. Zbl 1407.62252
Perdikaris, P.; Raissi, M.; Damianou, A.; Lawrence, N. D.; Karniadakis, G. E.
46
2017
Model selection for dynamical systems via sparse regression and information criteria. Zbl 1404.65308
Mangan, N. M.; Kutz, J. N.; Brunton, S. L.; Proctor, J. L.
43
2017
Continuum modelling of pantographic sheets for out-of-plane bifurcation and vibrational analysis. Zbl 1404.74064
Giorgio, I.; Rizzi, N. L.; Turco, E.
42
2017
Energy approach to brittle fracture in strain-gradient modelling. Zbl 1402.74094
Placidi, Luca; Barchiesi, Emilio
38
2018
Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations. Zbl 1472.65157
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh; von Wurstemberger, Philippe
37
2020
Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks. Zbl 1472.68175
Jagtap, Ameya D.; Kawaguchi, Kenji; Karniadakis, George Em
35
2020
Robust data-driven discovery of governing physical laws with error bars. Zbl 1407.62267
Zhang, Sheng; Lin, Guang
35
2018
Recoverability in quantum information theory. Zbl 1371.81070
Wilde, Mark M.
31
2015
Trigonal curves and algebro-geometric solutions to soliton hierarchies. I. Zbl 1404.35392
Ma, Wen-Xiu
31
2017
Methodical fitting for mathematical models of rubber-like materials. Zbl 1404.74016
Destrade, Michel; Saccomandi, Giuseppe; Sgura, Ivonne
30
2017
Stochastic partial differential fluid equations as a diffusive limit of deterministic Lagrangian multi-time dynamics. Zbl 1402.76101
Cotter, C. J.; Gottwald, G. A.; Holm, D. D.
28
2017
Assessing the robustness of spatial pattern sequences in a dryland vegetation model. Zbl 1371.92136
Gowda, Karna; Chen, Yuxin; Iams, Sarah; Silber, Mary
27
2016
A priori estimation of memory effects in reduced-order models of nonlinear systems using the Mori-Zwanzig formalism. Zbl 1402.76065
Gouasmi, Ayoub; Parish, Eric J.; Duraisamy, Karthik
27
2017
Trigonal curves and algebro-geometric solutions to soliton hierarchies. II. Zbl 1404.35393
Ma, Wen-Xiu
27
2017
Mittag-Leffler synchronization of delayed fractional-order bidirectional associative memory neural networks with discontinuous activations: state feedback control and impulsive control schemes. Zbl 1404.92013
Ding, Xiaoshuai; Cao, Jinde; Zhao, Xuan; Alsaadi, Fuad E.
27
2017
How to characterize a nonlinear elastic material? A review on nonlinear constitutive parameters in isotropic finite elasticity. Zbl 1404.74018
Mihai, L. Angela; Goriely, Alain
26
2017
Nonlinear regularization operators as derived from the micromorphic approach to gradient elasticity, viscoplasticity and damage. Zbl 1371.74226
Forest, Samuel
25
2016
Koopman wavefunctions and classical-quantum correlation dynamics. Zbl 1472.81012
Bondar, Denys I.; Gay-Balmaz, François; Tronci, Cesare
25
2019
Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling. Zbl 1472.76068
Lind, Steven J.; Rogers, Benedict D.; Stansby, Peter K.
25
2020
Dynamics of lumps and dark-dark solitons in the multi-component long-wave-short-wave resonance interaction system. Zbl 1402.35070
Rao, Jiguang; Porsezian, Kuppuswamy; He, Jingsong; Kanna, Thambithurai
25
2018
Well-posed continuum equations for granular flow with compressibility and \(\mu(I)\)-rheology. Zbl 1404.76278
Barker, T.; Schaeffer, D. G.; Shearer, M.; Gray, J. M. N. T.
25
2017
Understanding how porosity gradients can make a better filter using homogenization theory. Zbl 1371.76133
Dalwadi, M. P.; Griffiths, I. M.; Bruna, M.
24
2015
A minimization principle for the description of modes associated with finite-time instabilities. Zbl 1371.34064
Babaee, H.; Sapsis, T. P.
23
2016
Submesocale currents in the ocean. Zbl 1371.86012
McWilliams, James C.
23
2016
On anomalous localized resonance and plasmonic cloaking beyond the quasi-static limit. Zbl 1407.35228
Li, Hongjie; Liu, Hongyu
23
2018
Variational principles for stochastic soliton dynamics. Zbl 1371.70041
Holm, Darryl D.; Tyranowski, Tomasz M.
22
2016
Revisiting the Fisher-Kolmogorov-Petrovsky-Piskunov equation to interpret the spreading-extinction dichotomy. Zbl 1472.35398
El-Hachem, Maud; Mccue, Scott W.; Jin, Wang; Du, Yihong; Simpson, Matthew J.
21
2019
Contact geometry for simple thermodynamical systems with friction. Zbl 1472.53109
Simoes, Alexandre Anahory; de León, Manuel; Lainz Valcázar, Manuel; Martín de Diego, David
21
2020
Sub-wavelength focusing of acoustic waves in bubbly media. Zbl 1404.76235
Ammari, Habib; Fitzpatrick, Brian; Gontier, David; Lee, Hyundae; Zhang, Hai
21
2017
Superregular breathers, characteristics of nonlinear stage of modulation instability induced by higher-order effects. Zbl 1404.35398
Zhang, Jian-Hui; Wang, Lei; Liu, Chong
21
2017
Opinion dynamics: inhomogeneous Boltzmann-type equations modelling opinion leadership and political segregation. Zbl 1372.91084
DĂĽring, Bertram; Wolfram, Marie-Therese
20
2015
The general coupled Hirota equations: modulational instability and higher-order vector rogue wave and multi-dark soliton structures. Zbl 1472.78020
Zhang, Guoqiang; Yan, Zhenya; Wang, Li
20
2019
Direct linearizing transform for three-dimensional discrete integrable systems: the lattice AKP, BKP and CKP equations. Zbl 1404.39004
Fu, Wei; Nijhoff, Frank W.
20
2017
Quantum speedup of Monte Carlo methods. Zbl 1371.82053
Montanaro, Ashley
19
2015
First evidence of non-locality in real band-gap metamaterials: determining parameters in the relaxed micromorphic model. Zbl 1371.82126
Madeo, Angela; Barbagallo, Gabriele; d’Agostino, Marco Valerio; Placidi, Luca; Neff, Patrizio
19
2016
Dynamics of flexural gravity waves: from sea ice to Hawking radiation and analogue gravity. Zbl 1402.76024
Das, S.; Sahoo, T.; Meylan, M. H.
19
2018
New conformal mapping for adaptive resolving of the complex singularities of Stokes wave. Zbl 1402.76027
Lushnikov, Pavel M.; Dyachenko, Sergey A.; Silantyev, Denis A.
19
2017
Modulational instability, beak-shaped rogue waves, multi-dark-dark solitons and dynamics in pair-transition-coupled nonlinear Schrödinger equations. Zbl 1404.35424
Zhang, Guoqiang; Yan, Zhenya; Wen, Xiao-Yong
19
2017
Mixed finite-element formulations in piezoelectricity and flexoelectricity. Zbl 1371.74261
Mao, Sheng; Purohit, Prashant K.; Aravas, Nikolaos
18
2016
On fibre dispersion modelling of soft biological tissues: a review. Zbl 1472.74156
Holzapfel, Gerhard A.; Ogden, Ray W.; Sherifova, Selda
18
2019
Twistor theory at fifty: from contour integrals to twistor strings. Zbl 1404.81004
Atiyah, Michael; Dunajski, Maciej; Mason, Lionel J.
18
2017
The \(n\)-component nonlinear Schrödinger equations: dark-bright mixed \(N\)- and high-order solitons and breathers, and dynamics. Zbl 1404.35375
Zhang, Guoqiang; Yan, Zhenya
18
2018
Universal recovery map for approximate Markov chains. Zbl 1376.81015
Sutter, David; Fawzi, Omar; Renner, Renato
17
2016
On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics. Zbl 1439.81065
El-Nabulsi, Rami Ahmad
17
2020
Causal dissipation for the relativistic dynamics of ideal gases. Zbl 1404.82058
FreistĂĽhler, Heinrich; Temple, Blake
17
2017
Nonlinear electroelasticity: material properties, continuum theory and applications. Zbl 1404.74017
Dorfmann, Luis; Ogden, Ray W.
17
2017
Real wave propagation in the isotropic-relaxed micromorphic model. Zbl 1404.82028
Neff, Patrizio; Madeo, Angela; Barbagallo, Gabriele; D’Agostino, Marco Valerio; Abreu, Rafael; Ghiba, Ionel-Dumitrel
17
2017
Point vortex interactions on a toroidal surface. Zbl 1371.76046
Sakajo, Takashi; Shimizu, Yuuki
16
2016
SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics. Zbl 1473.93007
Kaheman, Kadierdan; Kutz, J. Nathan; Brunton, Steven L.
16
2020
Explicit backbone curves from spectral submanifolds of forced-damped nonlinear mechanical systems. Zbl 1402.34047
Breunung, Thomas; Haller, George
16
2018
Domain structure of ultrathin ferromagnetic elements in the presence of Dzyaloshinskii-Moriya interaction. Zbl 1404.82101
Muratov, Cyrill B.; Slastikov, Valeriy V.
16
2017
Interfacial waveforms in chiral lattices with gyroscopic spinners. Zbl 1404.74010
Garau, M.; Carta, G.; Nieves, M. J.; Jones, I. S.; Movchan, N. V.; Movchan, A. B.
16
2018
The nonlinear Schrödinger equation with \(t\)-periodic data: II: Perturbative results. Zbl 1371.35274
Lenells, J.; Fokas, A. S.
15
2015
A curve shortening flow rule for closed embedded plane curves with a prescribed rate of change in enclosed area. Zbl 1371.53062
Dallaston, Michael C.; McCue, Scott W.
15
2016
Superalgebraically convergent smoothly windowed lattice sums for doubly periodic Green functions in three-dimensional space. Zbl 1371.78330
Bruno, Oscar P.; Shipman, Stephen P.; Turc, Catalin; Venakides, Stephanos
15
2016
On the dynamic homogenization of periodic media: Willis’ approach versus two-scale paradigm. Zbl 1402.74047
Meng, Shixu; Guzina, Bojan B.
15
2018
The nonlinear Schrödinger equation with \(t\)-periodic data: I. Exact results. Zbl 1371.35273
Lenells, J.; Fokas, A. S.
14
2015
Discretization of polynomial vector fields by polarization. Zbl 1372.65201
Celledoni, Elena; McLachlan, Robert I.; McLaren, David I.; Owren, Brynjulf; Quispel, G. R. W.
14
2015
Radiating dispersive shock waves in non-local optical media. Zbl 1371.78043
El, Gennady A.; Smyth, Noel F.
14
2016
Closed-form evaluation of two-dimensional static lattice sums. Zbl 1371.33032
Yakubovich, S.; Drygas, P.; Mityushev, V.
14
2016
The mathematics of asymptotic stability in the Kuramoto model. Zbl 1425.35206
Dietert, Helge; Fernandez, Bastien
14
2018
Matter rogue waves for the three-component Gross-Pitaevskii equations in the spinor Bose-Einstein condensates. Zbl 1402.76165
Sun, Wen-Rong; Wang, Lei
14
2018
Gyro-elastic beams for the vibration reduction of long flexural systems. Zbl 1404.74078
Carta, G.; Jones, I. S.; Movchan, N. V.; Movchan, A. B.; Nieves, M. J.
14
2017
On the analysis of the double Hopf bifurcation in machining processes via centre manifold reduction. Zbl 1404.74065
Molnar, T. G.; Dombovari, Z.; Insperger, T.; Stepan, G.
14
2017
Homogenization of composite ferromagnetic materials. Zbl 1371.82148
Alouges, François; Di Fratta, Giovanni
13
2015
Refined boundary conditions on the free surface of an elastic half-space taking into account non-local effects. Zbl 1371.74025
Chebakov, R.; Kaplunov, J.; Rogerson, G. A.
13
2016
Efficient methods for linear Schrödinger equation in the semiclassical regime with time-dependent potential. Zbl 1372.65280
Bader, Philipp; Iserles, Arieh; Kropielnicka, Karolina; Singh, Pranav
13
2016
A fully coupled subwavelength resonance approach to filtering auditory signals. Zbl 1472.94022
Ammari, Habib; Davies, Bryn
13
2019
Interplay between cost and effectiveness in influenza vaccine uptake: a vaccination game approach. Zbl 1472.92196
Arefin, Md. Rajib; Masaki, Tanaka; Kabir, K. M. Ariful; Tanimoto, Jun
13
2019
Model selection for hybrid dynamical systems via sparse regression. Zbl 1427.93253
Mangan, N. M.; Askham, T.; Brunton, S. L.; Kutz, J. N.; Proctor, J. L.
13
2019
Modelling nonlinear electrohydrodynamic surface waves over three-dimensional conducting fluids. Zbl 1404.76298
Wang, Zhan
13
2017
On the role of micro-inertia in enriched continuum mechanics. Zbl 1404.82039
Madeo, Angela; Neff, Patrizio; Aifantis, Elias C.; Barbagallo, Gabriele; d’Agostino, Marco Valerio
13
2017
Amplifiers of selection. Zbl 1371.92093
Adlam, B.; Chatterjee, K.; Nowak, M. A.
12
2015
Evolutionary graph theory revisited: when is an evolutionary process equivalent to the Moran process. Zbl 1371.92098
Pattni, Karan; Broom, Mark; Rychtář, Jan; Silvers, Lara J.
12
2015
On well-posedness of variational models of charged drops. Zbl 1371.76163
Muratov, Cyrill B.; Novaga, Matteo
12
2016
Numerical solution of acoustic scattering by finite perforated elastic plates. Zbl 1371.74219
Cavalieri, A. V. G.; Wolf, W. R.; Jaworski, J. W.
12
2016
High-frequency homogenization for travelling waves in periodic media. Zbl 1371.35005
Harutyunyan, Davit; Milton, Graeme W.; Craster, Richard V.
12
2016
Bidispersive-inclined convection. Zbl 1371.80017
Falsaperla, Paolo; Mulone, Giuseppe; Straughan, Brian
12
2016
Formal groups and \(Z\)-entropies. Zbl 1371.94581
Tempesta, Piergiulio
12
2016
Onsager’s conjecture in bounded domains for the conservation of entropy and other companion laws. Zbl 1472.35285
Bardos, C.; Gwiazda, P.; Ĺšwierczewska-Gwiazda, A.; Titi, E. S.; Wiedemann, E.
12
2019
Control of chaotic systems by deep reinforcement learning. Zbl 1472.68171
Bucci, M. A.; Semeraro, O.; Allauzen, A.; Wisniewski, G.; Cordier, L.; Mathelin, L.
12
2019
A modelling framework to assess the likely effectiveness of facemasks in combination with ‘lock-down’ in managing the COVID-19 pandemic. Zbl 1472.92241
Stutt, Richard O. J. H.; Retkute, Renata; Bradley, Michael; Gilligan, Christopher A.; Colvin, John
12
2020
Structure-preserving integrators for dissipative systems based on reversible-irreversible splitting. Zbl 1439.82069
Shang, Xiaocheng; Ă–ttinger, Hans Christian
12
2020
Quantum machine learning: a classical perspective. Zbl 1402.68154
Ciliberto, Carlo; Herbster, Mark; Ialongo, Alessandro Davide; Pontil, Massimiliano; Rocchetto, Andrea; Severini, Simone; Wossnig, Leonard
12
2018
Density of convex intersections and applications. Zbl 1402.49012
Hintermüller, M.; Rautenberg, C. N.; Rösel, S.
12
2017
Stochastic isotropic hyperelastic materials: constitutive calibration and model selection. Zbl 1402.74008
Mihai, L. Angela; Woolley, Thomas E.; Goriely, Alain
12
2018
Pairwise approximation for SIR-type network epidemics with non-Markovian recovery. Zbl 1402.92410
Röst, G.; Vizi, Z.; Kiss, I. Z.
12
2018
Rapidly convergent quasi-periodic Green functions for scattering by arrays of cylinders – including Wood anomalies. Zbl 1404.78024
Bruno, Oscar P.; Fernandez-Lado, Agustin G.
12
2017
Whitham modulation theory for the Kadomtsev-Petviashvili equation. Zbl 1404.35382
Ablowitz, Mark J.; Biondini, Gino; Wang, Qiao
12
2017
Bidispersive vertical convection. Zbl 1404.76257
Gentile, M.; Straughan, B.
12
2017
History dependence and the continuum approximation breakdown: the impact of domain growth on Turing’s instability. Zbl 1404.35458
Klika, Václav; Gaffney, Eamonn A.
12
2017
Matrix models and deformations of JT gravity. Zbl 1472.83071
Witten, Edward
73
2020
Applications of variable-order fractional operators: a review. Zbl 1439.26028
Patnaik, Sansit; Hollkamp, John P.; Semperlotti, Fabio
47
2020
Overcoming the curse of dimensionality in the numerical approximation of semilinear parabolic partial differential equations. Zbl 1472.65157
Hutzenthaler, Martin; Jentzen, Arnulf; Kruse, Thomas; Nguyen, Tuan Anh; von Wurstemberger, Philippe
37
2020
Locally adaptive activation functions with slope recovery for deep and physics-informed neural networks. Zbl 1472.68175
Jagtap, Ameya D.; Kawaguchi, Kenji; Karniadakis, George Em
35
2020
Review of smoothed particle hydrodynamics: towards converged Lagrangian flow modelling. Zbl 1472.76068
Lind, Steven J.; Rogers, Benedict D.; Stansby, Peter K.
25
2020
Contact geometry for simple thermodynamical systems with friction. Zbl 1472.53109
Simoes, Alexandre Anahory; de León, Manuel; Lainz Valcázar, Manuel; Martín de Diego, David
21
2020
On a new fractional uncertainty relation and its implications in quantum mechanics and molecular physics. Zbl 1439.81065
El-Nabulsi, Rami Ahmad
17
2020
SINDy-PI: a robust algorithm for parallel implicit sparse identification of nonlinear dynamics. Zbl 1473.93007
Kaheman, Kadierdan; Kutz, J. Nathan; Brunton, Steven L.
16
2020
A modelling framework to assess the likely effectiveness of facemasks in combination with ‘lock-down’ in managing the COVID-19 pandemic. Zbl 1472.92241
Stutt, Richard O. J. H.; Retkute, Renata; Bradley, Michael; Gilligan, Christopher A.; Colvin, John
12
2020
Structure-preserving integrators for dissipative systems based on reversible-irreversible splitting. Zbl 1439.82069
Shang, Xiaocheng; Ă–ttinger, Hans Christian
12
2020
The super-StĂĽckelberg procedure and dS in pure supergravity. Zbl 1472.83109
Nagy, Silvia; Padilla, Antonio; Zavala, Ivonne
11
2020
A generalized fractional-order elastodynamic theory for non-local attenuating media. Zbl 1472.74020
Patnaik, Sansit; Semperlotti, Fabio
11
2020
Liquid crystals on deformable surfaces. Zbl 1472.82040
Nitschke, Ingo; Reuther, Sebastian; Voigt, Axel
11
2020
Target competition for resources under multiple search-and-capture events with stochastic resetting. Zbl 1472.60149
Bressloff, P. C.
11
2020
Mimicking the active cochlea with a fluid-coupled array of subwavelength Hopf resonators. Zbl 1439.74133
Ammari, Habib; Davies, Bryn
11
2020
Symmetry determination and nonlinearization of a nonlinear time-fractional partial differential equation. Zbl 1472.35446
Zhang, Zhi-Yong
10
2020
Exponential stability in Mindlin’s form II gradient thermoelasticity with microtemperatures of type III. Zbl 1472.74006
Aouadi, M.; Passarella, F.; Tibullo, V.
10
2020
Localized structures on librational and rotational travelling waves in the sine-Gordon equation. Zbl 1472.35010
Pelinovsky, Dmitry E.; White, Robert E.
10
2020
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2020
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Analytic and numerical solutions to the seismic wave equation in continuous media. Zbl 1472.86012
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Cited by 7,323 Authors

44 Tian, Shoufu
30 Ammari, Habib
26 Barchiesi, Emilio
26 Holm, Darryl Dallas
26 Neff, Patrizio
21 Geng, Xianguo
20 Karniadakis, George Em
20 Wang, Xiubin
19 Liu, Hongyu
19 Placidi, Luca
19 Zhang, Tiantian
17 Brunton, Steven L.
16 He, Jingsong
16 Turco, Emilio
15 Giorgio, Ivan
15 Kaplunov, Julius D.
15 Simpson, Matthew J.
14 Hoefer, Mark A.
14 Kutz, J. Nathan
14 Madeo, Angela
14 Tronci, Cesare
14 Yavari, Arash
13 dell’Isola, Francesco
13 Ma, Wen-Xiu
13 Movchan, Alexander B.
13 Rychtár, Jan
13 Yang, Jinjie
12 Di Fratta, Giovanni
12 Goriely, Alain
12 Saccomandi, Giuseppe
11 Babaee, Hessam
11 Cao, Jinde
11 Carta, Giorgio
11 Chen, Yong
11 Hiltunen, Erik Orvehed
11 Mihalache, Dumitru
11 Neves, Mario jun.
11 Straughan, Brian
10 d’Agostino, Marco Valerio
10 de LeĂłn RodrĂ­guez, Manuel
10 Gay-Balmaz, François
10 Ghiba, Ionel-Dumitrel
10 Grammaticos, Basil
10 Li, Zhiqiang
10 Meylan, Michael H.
10 Muratov, Cyrill B.
10 Penta, Raimondo
10 Ramani, Alfred
10 Ratliff, Daniel J.
10 Singh, Mehakpreet
10 Tian, Bo
10 Xiu, Dongbin
10 Xue, Bo
10 Yan, Zhenya
9 Abali, Bilen Emek
9 Aouadi, Moncef
9 El, Gennady A.
9 Hutzenthaler, Martin
9 Jentzen, Arnulf
9 Nobili, Andrea
9 Ostoja-Starzewski, Martin
9 Peng, Weiqi
9 Prikazchikov, Danila A.
9 Sapsis, Themistoklis P.
9 Slastikov, Valeriy V.
9 Smith, Frank T.
9 Willox, Ralph
8 Ayton, Lorna J.
8 Bagarello, Fabio
8 Coman, Ciprian D.
8 Crowdy, Darren Gregory
8 Davies, Bryn
8 Deng, Youjun
8 Dyachenko, Sergey A.
8 El-Nabulsi, Rami Ahmad
8 FeÄŤkan, Michal
8 Forrester, Peter J.
8 Haller, George
8 Jones, Ian S.
8 Krause, Andrew L.
8 Li, Hongjie
8 Lui, Lok Ming
8 Lustri, Christopher J.
8 Martin, Calin-Iulian
8 Marynets, Kateryna
8 McCue, Scott William
8 Mihai, L. Angela
8 Nicholls, David P.
8 Parnell, William J.
8 Pelinovsky, Dmitry Efimovich
8 Rao, Jiguang
8 Rautenberg, Carlos N.
8 RĂĽland, Angkana
8 Sahoo, Trilochan
8 Taylor, Dewey T.
8 van Gorder, Robert Ashton
8 Voigt, Axel
8 Wang, Jinrong
8 Yan, Xuewei
8 Zhang, Guoqiang
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Cited in 445 Journals

272 Journal of Fluid Mechanics
244 Proceedings of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
153 Journal of Computational Physics
132 Computer Methods in Applied Mechanics and Engineering
114 Journal of Physics A: Mathematical and Theoretical
111 Physica D
93 Mathematics and Mechanics of Solids
91 Journal of High Energy Physics
67 International Journal of Engineering Science
67 ZAMP. Zeitschrift fĂĽr angewandte Mathematik und Physik
66 Wave Motion
63 Journal of Elasticity
63 Journal of Nonlinear Science
61 Journal of Mathematical Physics
61 Nonlinear Dynamics
57 Applied Mathematical Modelling
57 European Journal of Mechanics. A. Solids
56 Acta Mechanica
47 Nonlinearity
47 SIAM Journal on Applied Mathematics
46 Communications in Nonlinear Science and Numerical Simulation
41 Chaos, Solitons and Fractals
40 Philosophical Transactions of the Royal Society of London. A. Mathematical, Physical and Engineering Sciences
39 Quantum Information Processing
38 Applied Mathematics and Computation
36 Physics Letters. A
34 SIAM Journal on Applied Dynamical Systems
33 SIAM Journal on Scientific Computing
33 Chaos
32 Journal of Differential Equations
32 Meccanica
29 Computational Mechanics
29 Journal of Theoretical Biology
27 Multiscale Modeling & Simulation
26 Journal of the Mechanics and Physics of Solids
25 Journal of Mathematical Biology
25 SIAM Journal on Mathematical Analysis
25 European Journal of Mechanics. B. Fluids
24 Journal of Engineering Mathematics
24 Bulletin of Mathematical Biology
23 Journal of Mathematical Analysis and Applications
23 Studies in Applied Mathematics
23 ZAMM. Zeitschrift fĂĽr Angewandte Mathematik und Mechanik
22 Applied Mathematics Letters
22 Continuum Mechanics and Thermodynamics
22 Foundations of Physics
21 Communications in Mathematical Physics
21 Physica A
19 Journal of Scientific Computing
18 Journal of Statistical Physics
17 Computers & Mathematics with Applications
17 Geophysical and Astrophysical Fluid Dynamics
16 Archive for Rational Mechanics and Analysis
16 International Journal for Numerical Methods in Engineering
15 Mathematical Methods in the Applied Sciences
15 Theoretical and Mathematical Physics
15 Monatshefte fĂĽr Mathematik
15 European Journal of Applied Mathematics
15 Discrete and Continuous Dynamical Systems. Series B
15 Waves in Random and Complex Media
14 Journal of Geometry and Physics
14 Computational and Applied Mathematics
14 Journal of Statistical Mechanics: Theory and Experiment
14 SIGMA. Symmetry, Integrability and Geometry: Methods and Applications
13 Classical and Quantum Gravity
13 Journal of Computational and Applied Mathematics
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13 Annales Henri Poincaré
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13 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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12 Mathematical Biosciences and Engineering
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11 International Journal of Theoretical Physics
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11 Mathematics and Mechanics of Complex Systems
10 Computer Physics Communications
10 Mathematical Biosciences
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9 Applicable Analysis
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9 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
9 Neural Networks
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
9 Journal of Nonlinear Mathematical Physics
9 Advances in Mathematical Physics
8 Computers and Fluids
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8 Journal of the Franklin Institute
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8 Applied Numerical Mathematics
8 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
8 Communications on Pure and Applied Analysis
8 Advances in Difference Equations
8 Oberwolfach Reports
8 Journal of Geometric Mechanics
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1,130 Partial differential equations (35-XX)
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